Search a number
-
+
1155132513440 = 25547235765171
BaseRepresentation
bin10000110011110011010…
…000110101110010100000
311002102121011121122011222
4100303303100311302200
5122411202410412230
62242354402354212
7146312155234223
oct20636320656240
94072534548158
101155132513440
1140598620a394
12167a5765b968
1384c0bc923a9
143dca17115ba
15200aac256e5
hex10cf3435ca0

1155132513440 has 96 divisors (see below), whose sum is σ = 2788289650944. Its totient is φ = 452023290880.

The previous prime is 1155132513427. The next prime is 1155132513527. The reversal of 1155132513440 is 443152315511.

It is a happy number.

It is a super-2 number, since 2×11551325134402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1155132513440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17692055 + ... + 17757225.

It is an arithmetic number, because the mean of its divisors is an integer number (29044683864).

Almost surely, 21155132513440 is an apocalyptic number.

1155132513440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155132513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394144825472).

1155132513440 is an abundant number, since it is smaller than the sum of its proper divisors (1633157137504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1155132513440 is a wasteful number, since it uses less digits than its factorization.

1155132513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67590 (or 67582 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

Adding to 1155132513440 its reverse (443152315511), we get a palindrome (1598284828951).

The spelling of 1155132513440 in words is "one trillion, one hundred fifty-five billion, one hundred thirty-two million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 376 470 752 940 1504 1880 2357 3760 4714 7520 9428 11785 18856 23570 37712 47140 65171 75424 94280 110779 130342 188560 221558 260684 325855 377120 443116 521368 553895 651710 886232 1042736 1107790 1303420 1772464 2085472 2215580 2606840 3063037 3544928 4431160 5213680 6126074 8862320 10427360 12252148 15315185 17724640 24504296 30630370 49008592 61260740 98017184 122521480 153608047 245042960 307216094 490085920 614432188 768040235 1228864376 1536080470 2457728752 3072160940 4915457504 6144321880 7219578209 12288643760 14439156418 24577287520 28878312836 36097891045 57756625672 72195782090 115513251344 144391564180 231026502688 288783128360 577566256720 1155132513440